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Numbers k such that the period of the continued fraction for sqrt(3)*k is 2.
3

%I #10 Nov 18 2023 20:48:18

%S 1,2,3,4,7,11,14,15,26,28,41,52,56,78,97,130,153,156,194,209,260,362,

%T 388,390,571,679,724,765,776,780,1351,1358,1552,2131,2702,2716,2911,

%U 3982,4053,5042,5404,5432,6755,6878,7953,7964,8106,8109,10084,10808

%N Numbers k such that the period of the continued fraction for sqrt(3)*k is 2.

%D R. K. Guy, personal communication.

%H Chai Wah Wu, <a href="/A064933/b064933.txt">Table of n, a(n) for n = 1..382</a>

%t Select[Range[1024], Length[Last[ContinuedFraction[Sqrt[3]*# ]]]==2& ]

%t Select[ Range[20000], Length[ Last[ ContinuedFraction[ Sqrt[3]*# ]]] ==2 & ]

%K nonn

%O 1,2

%A _Wouter Meeussen_, Oct 26 2001

%E More terms from _Robert G. Wilson v_, Oct 31 2001